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Finding the Fourth Proportional to 197,162.40, 295,695.60 and 56,906.40

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Solution

The fourth proportional to 197,162.40, 295,695.60 and 56,906.40 is: 85,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,162.40 : 295,695.60 = 56,906.40 : x
  2. Step 2: Convert to fraction form
    197,162.40/295,695.60 = 56,906.40/x
  3. Step 3: Cross multiply
    197,162.40x = 295,695.60 × 56,906.40
  4. Step 4: Simplify right side
    197,162.40x = 16,826,972,091.84
  5. Step 5: Solve for x
    x = 16,826,972,091.84/197,162.40
  6. Step 6: Final answer
    x = 85,345.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.